Answer:
[tex]100x^{4}y^{6}[/tex]
Step-by-step explanation:
[tex](25xy^{3} )(4xy)(x^{2}y^{2})[/tex]
Remove parenthesis:
[tex]25xy^{3}*4xyx^{2}y^{2}[/tex]
Separate the constants:
[tex](25*4)xxx^{2}y^{3}yy^{2}[/tex]
Simplify:
[tex]100x^{1+1+2}y^{3+1+2}[/tex]
[tex]100x^{4}y^{6}[/tex]